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Question 4: (9 marks) Campus Apartment Rentals advertised 1,706 available units for students. These units are in the West, South, and Center City apartment complexes,

Question 4: (9 marks) Campus Apartment Rentals advertised 1,706 available units for

students. These units are in the West, South, and Center City apartment complexes, and they

have one, two, and three bedrooms. The following table summarizes the available units:

West South Center City Total

One bedroom 97 277 175 549

Two bedrooms 156 315 261 732

Three bedrooms 99 229 97 425

Total 352 821 533 1,706

An apartment advertised by Campus Apartment Rentals is selected at random.

a. (2 marks) What is the probability it is in Center City and is a one-bedroom unit?

b. (2 marks) What is the probability it is a one-bedroom unit, given it is in Center City?

c. (3 marks) Are the events of being in Center City and being a one-bedroom unit indepen-

dent? Why or why not?

d. (2 marks) Are the events of being in Center City and being a one-bedroom unit disjoint?

Why or why not?

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